False vacuum decay in kink scattering

Abstract

In this work we consider kink-antikink and antikink-kink collisions in a modified ${\varphi }^4$ model with a false vacuum characterized by a dimensionless parameter $\epsilon$. The usual ${\varphi }^4$ model is recovered for $\epsilon =0$. We investigate the $\epsilon <<1$ regime where the kink in the presence of false vacuum can be understood as a small deformation of the standard kink for the ${\varphi }^4$ model. We show that the attractive interaction between the kink-antikink pair leads to a rich scattering pattern, in some cases delaying considerably the false vacuum decay.

arXiv comment16 pages, 17 figures

References in corpus (58)

• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Towards the Theory of Cosmological Phase Transitions
• On the metastability of the Standard Model vacuum
• Oscillons: Resonant Configurations During Bubble Collapse
• Gravitational Waves from Electroweak Phase Transitions
• Phase Transitions and Vacuum Tunneling Into Charge and Color Breaking Minima in the MSSM
• Kink-antikink collisions in the phi^6 model
• Quantum Radiation of Oscillons
• Symmetry Breaking and False Vacuum Decay after Hybrid Inflation
• Electroweak Vacuum (In)Stability in an Inflationary Universe
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Gravitational waves from the electroweak phase transition
• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Scattering of the double sine-Gordon kinks
• Resonant kink-antikink scattering through quasinormal modes
• Kink-Antikink Scattering in ϕ^4 and ϕ^6 Models
• Inflation after False Vacuum Decay: Observational Prospects after Planck
• Multi-kink collisions in the ${\varphi }^6$ model
• Computation of the radiation amplitude of oscillons
• A status report on the observability of cosmic bubble collisions
• Interaction of sine-Gordon kinks with defects: The two-bounce resonance
• phi^4 Kinks - Gradient Flow and Dynamics
• Reflection, transmutation, annihilation and resonance in two-component kink collisions
• Resonance structures in coupled two-component ${\varphi }^4$ model
• Standard Model vacuum decay with gravity
• Cosmic Bubble Collisions
• Kink Dynamics in a Parametric ${\varphi }^6$ System: A Model With Controllably Many Internal Modes
• Perfect fluid Lagrangian and its cosmological implications in theories of gravity with nonminimally coupled matter fields
• Could the primordial radiation be responsible for vanishing of topological defects?
• Cosmic bubble and domain wall instabilities III: The role of oscillons in three-dimensional bubble collisions
• Gravitational waves from first-order phase transitions: Towards model separation by bubble nucleation rate
• Suppression of two-bounce windows in kink-antikink collisions
• Collision of Domain Walls and Reheating of the Brane Universe
• Creating kinks from particles
• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Cosmic bubble and domain wall instabilities I: parametric amplification of linear fluctuations
• Matter Lagrangian of particles and fluids
• Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions
• Metastable dark energy
• p-brane dynamics in (N+1)-dimensional FRW universes: a unified framework
• High energy density in multi-soliton collisions
• Particle transfer in braneworld collisions
• Oscillons in the presence of external potential
• A Solitonic Approach to Holographic Nuclear Physics
• Dynamics of Biased Domain Walls and the Devaluation Mechanism
• Cosmic bubble and domain wall instabilities II: Fracturing of colliding walls
• Kink-antikink collisions for twin models
• Degenerate vacua to vacuumless model and $K\bar{K}$ collisions
• Forced Topological Nontrivial Field Configurations
• Scattering of kinks in a non-polynomial model
• Simulating the Universe(s) III: Observables for the full bubble collision spacetime
• Colliding branes and big crunches
• Resonance phenomena in the ${\phi }^8$ kinks scattering
• Transitions between topologically non-trivial configurations
• A chiral quark-soliton model with broken scale invariance for nuclear matter
• Bubble nucleation and inflationary perturbations

Cited by in corpus (20)

• Scattering between wobbling kinks
• Multi-kink scattering in the double sine-Gordon model
• Non-topological kink scattering in a two-component scalar field theory model
• Kink scattering in a hybrid model
• Collision of two kinks with inner structure
• Oscillons in hyperbolic models
• Kink scattering in hyperbolic models
• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
• Asymmetric kink scattering in a two-component scalar field theory model
• Quasinormal modes in kink excitations and kink-antikink interactions: a toy model
• Resonance structures in kink-antikink collisions in a deformed sine-Gordon model
• Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
• Kink scattering in a generalized Wess-Zumino model
• Asymmetric scattering between kinks and wobblers
• Semi-compactness and multiple oscillating pulses in kink scattering
• Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
• Gravitating kinks with asymptotically flat metrics
• False vacuum Skyrmions revisited
• A new model with solitary waves: solution, stability and quasinormal modes
• Compact kinks in a modified Christ-Lee model